Proof Consider the following recursive sequence, where the n-th term T(n)is defined as6T(n-1)-9T(n-2) and T(1) =...

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Proof Consider the following recursive sequence, where the n-th term T(n)is defined as6T(n-1)-9T(n-2) and T(1) = 5andT(2) = 18. Prove that T(n) = (n+4)3"-1V ne N where n 1. Be sure to clearly show/state your base case, inductive hypothesis, what you wish to prove using the IH, and inductive step Proof Consider the following recursive sequence, where the n-th term T(n)is defined as6T(n-1)-9T(n-2) and T(1) = 5andT(2) = 18. Prove that T(n) = (n+4)3"-1V ne N where n 1. Be sure to clearly show/state your base case, inductive hypothesis, what you wish to prove using the IH, and inductive step